The main reason for the South's dislike of Lincoln was the widespread belief that he planned to abolish slavery. Ironically, Lincoln planned nothing of the kind; he simply wanted to prevent the extension of slavery into new territories such as Kansas. Indeed, the Republican Party platform on which he ran in the 1860 election was pretty explicit on this point.
As far as Southern opinion was concerned, this made no difference whatsoever. Southern voters knew that Lincoln and the Republican Party were hostile to slavery and would do everything they could to prevent it from spreading. The general fear in the South was that if Lincoln were elected, he'd go one step further and abolish the "peculiar institution" altogether. As the entire Southern economy was based on slavery, the general consensus held that abolition would bring disaster.
It was no surprise, then, that Lincoln became the first victorious presidential candidate in American history not to win a plurality of votes in a single Southern state. Lincoln's name wasn't even on the ballot in nine Southern states, which indicates the deep levels of distrust towards him south of the Mason-Dixon Line.